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Finding the Fourth Proportional to 599,996,763,809.80, 827,996,353,994.16 and 325,642,420,497.48

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Solution

The fourth proportional to 599,996,763,809.80, 827,996,353,994.16 and 325,642,420,497.48 is: 449,386,985,299.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,996,763,809.80 : 827,996,353,994.16 = 325,642,420,497.48 : x
  2. Step 2: Convert to fraction form
    599,996,763,809.80/827,996,353,994.16 = 325,642,420,497.48/x
  3. Step 3: Cross multiply
    599,996,763,809.80x = 827,996,353,994.16 × 325,642,420,497.48
  4. Step 4: Simplify right side
    599,996,763,809.80x = 269,630,736,877,746,546,278,400
  5. Step 5: Solve for x
    x = 269,630,736,877,746,546,278,400/599,996,763,809.80
  6. Step 6: Final answer
    x = 449,386,985,299.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.